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Finding the Fourth Proportional to 298,825.16, 412,371.62 and 162,863.40

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Solution

The fourth proportional to 298,825.16, 412,371.62 and 162,863.40 is: 224,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,825.16 : 412,371.62 = 162,863.40 : x
  2. Step 2: Convert to fraction form
    298,825.16/412,371.62 = 162,863.40/x
  3. Step 3: Cross multiply
    298,825.16x = 412,371.62 × 162,863.40
  4. Step 4: Simplify right side
    298,825.16x = 67,160,244,096.71
  5. Step 5: Solve for x
    x = 67,160,244,096.71/298,825.16
  6. Step 6: Final answer
    x = 224,747.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.